how many different california license plates are possible?

Question

A california license plate starts with a digit other than 0 followed by three capital letters followed by three more digits (0 through 9)

Answer 1

Hi Abby, there are 7 slots that need to be filled:

Slot 1: 9 possibilities (1, 2, 3, 4, 5, 6, 7, 8, 9)

Slot 2: 26 possibilities (all letters of the alphabet)

Slot 3: 26 possibilities (all letters of the alphabet)

Slot 4: 26 possibilities (all letters of the alphabet)

Slot 5: 10 possibilities (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)

Slot 6: 10 possibilities (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)

Slot 7: 10 possibilities (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)

 

We need to multiply all the possibilities by each other to arrive at the total number of possible license plates

 

9 * 26 * 26 * 26 * 10 * 10 * 10 = 158,184,000 possible license plates